Yes. This is a security feature to keep someone finding your logged in browser and stealing your admin account.
If you have other admin accounts, you can have them remove admin privileges from your account, then you change the address, then they make you an admin again.
If you don’t have another admin account, then if you’re self-hosted you can add one with
cd /var/discourse
./launcher enter app
rake admin:create
Note that you won’t be able to use one email address for two accounts, so make sure that this account doesn’t use the one that you want to change yours to.